Sentences with phrase «harmonic functions»

And can generally be categorized as «superposition theories» where you add various harmonic functions.

But the natural way to represent a function on the surface of a sphere is as a series of spherical harmonic functions, and I don't understand why this representation is not used.

To elaborate on the question at the end of my above comment — among all other considerations and obstacles, how practical would it be to go back over the past 100 + years and compute monthly anomalies of globally averaged SST using spherical harmonic functions?

Would anyone in their right mind try to fit that with harmonic functions only?

Gridded data on a sphere can instead be represented by a series of spherical harmonic functions.

To calculate the position of images in a gravitational lens, you must solve an equation containing a rational harmonic function.

Not exact matches

In our ordinary experience, we take things to be harmonic structures embodying some appreciable worth, even when this worth is subordinated to a factual function in an instrumental relation.

He will share the bodywork he uses with up to 1/4 of his clients, which frees the atlas / occiput junction and promotes spinal harmonic resonance thus affecting everything from newborn's ability to latch on and nurse and develop appropriate movements to adults» physiologic functioning, movement coordination, general health and level of available energy.

D12's data set [i.e., the data gathered by Dumusque and team] was particularly pathological because the window function happened to contain periodicities that coincided with the stellar rotation period of α Cen B, and its first harmonic; when these signals were filtered out, the significance of the 3.24 d signal was preferentially boosted.

Therefore, the only effective long - time therapy is to improve the function or neuronal activation of the deep back muscles to enable them to stabilise the vertebrae in their harmonic balance, irrespective of the posture adopted or the complexity of the movement performed.

http://contextearth.com/2013/12/18/csalt-model-and-the-hale-cycle/ (BTW, anything periodic that has characteristics of a delta - function pulse, will by definition have all the harmonics of the fundamental frequency).

Pekka, yes, I noticed that Vaughan Pratt applied a small (3 %) phase shift in some smaller harmonics that didn't change the periodicity of his SAW function much (both ends are near zero).

When I was a physicist, back in the days when supercomputers had as much power as a cellphone, those of us who studied orientational forces between molecules of hydrogen or nitrogen used spherical harmonics to represent the behaviors (shperoidal wave functions, actually, since it is a quantum - mechanical problem).

In the standard resonance mechanism, think for instance of a damped harmonic oscillator, the amplification of the external forcing can be related, mathematically, to a singularity in the complex plane of the Green function of the problem.

The ABS function used by Vuk creates half harmonics and a third harmonic in the middle, but that is not mine 10.87 yr harmonic which has a different origin.